Three illustrations of the use of Euler circuits. (MM)

The problem of what areas are possible for polygons made on different types of geoboard. (MM)

The author remarks on the purpose(s) and content of existing geometry courses and offers alternative purposes and goals for geometry courses and some consequences of this alternative point of view. (JG)

Seven articles present: 1) a solution to a force equilibrium problem, 2) a magic square, 3) a characteristic of right triangles, 4) a family tree of Pythagorean triples, 5) a misunderstanding which may be cleared through modern mathematics, 6) a technique for solving conversion problems, and 7) a special permatation problem. (RS)

Postulates three objectives for requiring students to do algebraic or geometric proofs and discusses the validity of these objectives. (RT)

Presents content and approaches for teaching geometry at the K-6 level. By use of the discovery technique, the author demonstrates how various topics can be taught beginning in three-dimensionalspace with the study of solid shapes. The sequence begins with the sorting of solid shapes, is followed by the ordering of solids by size and leads to the…

Six short articles concerned with mathematics education are included. (FL)

A new syllabus for teaching geometry in the fourth-grade of Soviet schools is described. The methodological principles underlying the teaching of geometry in grade four and the material taught are discussed. (FL)